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Simplifying 2x + -5x + 47 = 2x + 27 Reorder the terms: 47 + 2x + -5x = 2x + 27 Combine like terms: 2x + -5x = -3x 47 + -3x = 2x + 27 Reorder the terms: 47 + -3x = 27 + 2x Solving 47 + -3x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 47 + -3x + -2x = 27 + 2x + -2x Combine like terms: -3x + -2x = -5x 47 + -5x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + -5x = 27 + 0 47 + -5x = 27 Add '-47' to each side of the equation. 47 + -47 + -5x = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 27 + -47 -5x = 27 + -47 Combine like terms: 27 + -47 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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